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Assume you purchase the bank bill in a 180-day bank bill with a face value of $100,000 when it was issued and then sell it

Assume you purchase the bank bill in a 180-day bank bill with a face value of $100,000 when it was issued and then sell it 50 days later when the applicable interest rate is 8% p.a. What is the sale price?

Thank you.

The answer is already shown as $2770.38 which is the interest after 50 days. But why would the interest be sale price?

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